AbstractBruno Leclerc proved that a finite lattice is upper semimodular if and only if, for any profile π and for any π-median m, the inequality c1/2(π)⩽m holds where c1/2(π) denotes the value of the majority rule at π. We generalize this fact to posets
If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather wea...
If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather wea...
summary:If $A$ is a class of partially ordered sets, let $P(A)$ denote the system of all posets whic...
Given a metric space (X, d) and a k-tuple (profile) P = (x1, x2,...,xk ) of elements of P X, a media...
Given a k-tuple P=(x 1,x 2,...,x k ) in a finite lattice X endowed with the lattice metric d, a medi...
AbstractA median of a k-tuple π=(x1,…,xk) of elements of a finite metric space (X,d) is an element x...
AbstractThe main result of this article is in proving a conjecture by Sali. We obtain a Kruskal–Kato...
AbstractWe consider the undirected covering graph G of a finite (meet) semilattice X endowed with a ...
Let L be a lattice of finite length, ξ = (x1,…, xk)∈Lk, and y ∈ L. The remotenessr(y, ξ) of y from ξ...
AbstractLet X be a finite set; we are concerned with the problem of finding a consensus order P that...
AbstractA poset P=(X,≼) is m-partite if X has a partition X=X1∪⋯∪Xm such that (1) each Xi forms an a...
Lattice-theoretical generalizations of the Jordan-H\"older theorem of group theory give isomorphisms...
Lattice-theoretical generalizations of the Jordan-H\"older theorem of group theory give isomorphisms...
AbstractFor a lattice L of finite length we denote by J(L) the set of all join-irreducible elements ...
Lattice-theoretical generalizations of the Jordan-H\"older theorem of group theory give isomorphisms...
If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather wea...
If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather wea...
summary:If $A$ is a class of partially ordered sets, let $P(A)$ denote the system of all posets whic...
Given a metric space (X, d) and a k-tuple (profile) P = (x1, x2,...,xk ) of elements of P X, a media...
Given a k-tuple P=(x 1,x 2,...,x k ) in a finite lattice X endowed with the lattice metric d, a medi...
AbstractA median of a k-tuple π=(x1,…,xk) of elements of a finite metric space (X,d) is an element x...
AbstractThe main result of this article is in proving a conjecture by Sali. We obtain a Kruskal–Kato...
AbstractWe consider the undirected covering graph G of a finite (meet) semilattice X endowed with a ...
Let L be a lattice of finite length, ξ = (x1,…, xk)∈Lk, and y ∈ L. The remotenessr(y, ξ) of y from ξ...
AbstractLet X be a finite set; we are concerned with the problem of finding a consensus order P that...
AbstractA poset P=(X,≼) is m-partite if X has a partition X=X1∪⋯∪Xm such that (1) each Xi forms an a...
Lattice-theoretical generalizations of the Jordan-H\"older theorem of group theory give isomorphisms...
Lattice-theoretical generalizations of the Jordan-H\"older theorem of group theory give isomorphisms...
AbstractFor a lattice L of finite length we denote by J(L) the set of all join-irreducible elements ...
Lattice-theoretical generalizations of the Jordan-H\"older theorem of group theory give isomorphisms...
If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather wea...
If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather wea...
summary:If $A$ is a class of partially ordered sets, let $P(A)$ denote the system of all posets whic...